English

A topological interpretation of the tower number

Logic 2010-08-02 v3 Combinatorics General Topology

Abstract

Hurewicz found connections between some topological notions and the combinatorial cardinals b and d. Reclaw gave topological meaning to the definition of the cardinal p. We extend the picture with a topological interpretation of the cardinal t. We compare our notion to the one related to p, and to some other classical notions. This sheds new light on the famous open problem whether p=t.

Keywords

Cite

@article{arxiv.math/9705209,
  title  = {A topological interpretation of the tower number},
  author = {Boaz Tsaban},
  journal= {arXiv preprint arXiv:math/9705209},
  year   = {2010}
}

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Small updates

R2 v1 2026-07-22T17:56:47.374Z